| 书目名称 | Interpolation, Schur Functions and Moment Problems II | | 编辑 | Daniel Alpay,Bernd Kirstein | | 视频video | | | 概述 | Focus on new results and original research.Most approaches and techniques presented for the first time in an easily understandable format.Topics covered reflect new trends in Schur analysis and new ar | | 丛书名称 | Operator Theory: Advances and Applications | | 图书封面 |  | | 描述 | .The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk. These sequences are now known as Schur parameter sequences. Schur analysis has grown significantly since its beginnings in the early twentieth century and now encompasses a wide variety of problems related to several classes of holomorphic functions and their matricial generalizations. These problems include interpolation and moment problems as well as Schur parametrization of particular classes of contractive or nonnegative Hermitian block matrices. .This book is primarily devoted to topics related to matrix versions of classical interpolation and moment problems. The major themes include Schur analysis of nonnegative Hermitian block Hankel matrices and the construction of Schur-type algorithms. This book also covers a number of recent developments in orthogonal rational matrix functions, matrix-valued Carathéodory functions and maximal weight solutions for particular matricial moment problems on the unit circle.. | | 出版日期 | Book 2012 | | 关键词 | Carathéodory and Nevanlinna classes; Schur analysis; Schur-type algorithms; matrix versions of power mo | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-0428-8 | | isbn_softcover | 978-3-0348-0742-5 | | isbn_ebook | 978-3-0348-0428-8Series ISSN 0255-0156 Series E-ISSN 2296-4878 | | issn_series | 0255-0156 | | copyright | Springer Basel 2012 |
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发表于 2025-3-21 19:05:38
